388994400 has 504 divisors, whose sum is σ = 1536932880. Its totient is φ = 95800320.

The previous prime is 388994399. The next prime is 388994491. The reversal of 388994400 is 4499883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13413586 + ... + 13413614.

It is an arithmetic number, because the mean of its divisors is an integer number (3049470).

Almost surely, 2^388994400 is an apocalyptic number.

388994400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768466440).

388994400 is an abundant number, since it is smaller than the sum of its proper divisors (1147938480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

388994400 is a wasteful number, since it uses less digits than its factorization.

388994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 388994400 is about 19722.9409571696. The cubic root of 388994400 is about 729.9858632403.

It can be divided in two parts, 3889 and 94400, that added together give a palindrome (98289).

The spelling of 388994400 in words is "three hundred eighty-eight million, nine hundred ninety-four thousand, four hundred".